Single-Molecule Conductance Theory Using Different Orbitals for Different Spins: Applications to π-Electrons in Graphene Molecules

  • Anatoliy V. Luzanov
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 222)


In the present paper, we consider many-body π-electron models and computational tools for treating single-molecule conductance in middle-size graphene molecules. Our study highlights the importance of accounting for long-range interactions and electron-correlation effects which are crucial for a correct description of electron transmission in conjugated systems. Here we construct one-electron Green’s function matrix for the half-projected Hartree-Fock method implementing the different orbitals for different spins (DODS) approach. Moreover, the simplified DODS in the form of quasi-correlated tight-binding (QCTB) and related models are invoked. We compare these electron-correlation models with the usual tight-binding (TB) approximation and show that TB is actually incorrect as a single-molecule conductance theory of graphenic and similar structures. In our specific applications, we calculate the conductance spectra for small graphene nanoflakes and find, in particular, that “zigzag” connections can afford significantly higher electron transmission than “armchair” connections.



Atomic orbital


Different orbitals for different spins


Extended Hartree-Fock


Full configuration interaction


Green’s function


Graphene quantum dot


Half-projected Hartree-Fock


Molecular orbital


Molecular-scale electronics


Quasi-correlated long-range interaction


Quasi-correlated tight-binding (model)


Restricted Hartree-Fock


Tight-binding (model)


Unrestricted Hartree-Fock


Wide-band limit


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Anatoliy V. Luzanov
    • 1
  1. 1.SSI “Institute of Single Crystals”, NAS of UkraineKharkivUkraine

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